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Finding the Fourth Proportional to 231,785.34, 319,852.71 and 142,344.06

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Solution

The fourth proportional to 231,785.34, 319,852.71 and 142,344.06 is: 196,428.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,785.34 : 319,852.71 = 142,344.06 : x
  2. Step 2: Convert to fraction form
    231,785.34/319,852.71 = 142,344.06/x
  3. Step 3: Cross multiply
    231,785.34x = 319,852.71 × 142,344.06
  4. Step 4: Simplify right side
    231,785.34x = 45,529,133,343.40
  5. Step 5: Solve for x
    x = 45,529,133,343.40/231,785.34
  6. Step 6: Final answer
    x = 196,428.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.